211120200 has 144 divisors (see below), whose sum is σ = 722716020. Its totient is φ = 55211520.

The previous prime is 211120183. The next prime is 211120201. The reversal of 211120200 is 2021112.

It can be written as a sum of positive squares in 6 ways, for example, as 169052004 + 42068196 = 13002^2 + 6486^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (211120201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 94294 + ... + 96506.

Almost surely, 2^211120200 is an apocalyptic number.

211120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361358010).

211120200 is an abundant number, since it is smaller than the sum of its proper divisors (511595820).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211120200 is a wasteful number, since it uses less digits than its factorization.

211120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 211120200 is about 14529.9759118864. The cubic root of 211120200 is about 595.4472075138.

Adding to 211120200 its reverse (2021112), we get a palindrome (213141312).

The spelling of 211120200 in words is "two hundred eleven million, one hundred twenty thousand, two hundred".